Difference between revisions of "ApCoCoA-1:SAT.ConvertToXOR"
From ApCoCoAWiki
m (ApCoCoA:Sat.ConvertToXOR moved to ApCoCoA:SAT.ConvertToXOR) |
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<command> | <command> | ||
<title>SAT.ConvertToXOR</title> | <title>SAT.ConvertToXOR</title> | ||
| − | <short_description>Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to XOR-CNF. Writes the XOR-CNF to the file | + | <short_description>Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to XOR-CNF. Writes the XOR-CNF to the file <quotes>sat_xor.cnf</quotes>. |
| − | |||
| − | |||
</short_description> | </short_description> | ||
<syntax> | <syntax> | ||
| Line 9: | Line 7: | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
| + | <em>Note:</em> XOR-CNF files are only applicable with CryptoMiniSat! | ||
| + | <par/> | ||
This function starts an alternative conversion algorithm. | This function starts an alternative conversion algorithm. | ||
| Line 24: | Line 24: | ||
SPE:=[F1,F2,F3]; | SPE:=[F1,F2,F3]; | ||
SAT.ConvertToXOR(SPE,0); | SAT.ConvertToXOR(SPE,0); | ||
| − | SAT.LaunchCryptoMiniSat( | + | SAT.LaunchCryptoMiniSat(<quotes>sat_xor.cnf</quotes>); |
SAT.GetResult(); | SAT.GetResult(); | ||
--Result: [0,1,0] Test with: Eval(SPE,[0,1,0]); | --Result: [0,1,0] Test with: Eval(SPE,[0,1,0]); | ||
| Line 37: | Line 37: | ||
SPE:=[F1,F2,F3]; | SPE:=[F1,F2,F3]; | ||
SAT.ConvertToXOR(SPE,0); | SAT.ConvertToXOR(SPE,0); | ||
| − | SAT.LaunchCryptoMiniSat( | + | SAT.LaunchCryptoMiniSat(<quotes>sat_xor.cnf</quotes>); |
SAT.GetResult(); | SAT.GetResult(); | ||
--Result: [0,0,1] Test with: Eval(SPE,[0,0,1]); | --Result: [0,0,1] Test with: Eval(SPE,[0,0,1]); | ||
Revision as of 11:48, 15 October 2009
SAT.ConvertToXOR
Converts a given quadratic (cubic) system of polynomial equations (SPE) over GF(2) to XOR-CNF. Writes the XOR-CNF to the file "sat_xor.cnf".
Syntax
SAT.ConvertToXOR(SPE:LIST, QStrategy:INT)
Description
Note: XOR-CNF files are only applicable with CryptoMiniSat!
This function starts an alternative conversion algorithm.
@param SPE: A List containing the polynomial equations of the system.
@param QStrategy: Strategy for quadratic substitution. 0 - Standard; 1 - Linear Partner; 2 - Adv. Lin. Partner;
Example
-- quadratic system: Use R::=ZZ/(2)[x[1..3]]; F1:= x[1]x[2] + x[1]x[3] + x[2]x[3] + x[3]; F2:= x[2] + 1; F3:= x[1]x[2] + x[3]; SPE:=[F1,F2,F3]; SAT.ConvertToXOR(SPE,0); SAT.LaunchCryptoMiniSat(<quotes>sat_xor.cnf</quotes>); SAT.GetResult(); --Result: [0,1,0] Test with: Eval(SPE,[0,1,0]);
Example
-- cubic system: Use ZZ/(2)[x[1..3]]; F1:=x[1]x[2]x[3] + x[1]x[2] + x[2]x[3] + x[1] + x[3] +1; F2:=x[1]x[2]x[3] + x[1]x[2] + x[2]x[3] + x[1] + x[2]; F3:=x[1]x[2] + x[2]x[3] + x[2]; SPE:=[F1,F2,F3]; SAT.ConvertToXOR(SPE,0); SAT.LaunchCryptoMiniSat(<quotes>sat_xor.cnf</quotes>); SAT.GetResult(); --Result: [0,0,1] Test with: Eval(SPE,[0,0,1]);
